Quasilocal mass constructions with positive energy.
Quasilocal mass constructions with positive energy.
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DOI：
10.1103/physrevlett.67.2119
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发表时间：
1991-10
影响因子：
8.6
通讯作者：
Dougan;Mason
中科院分区：
文献类型：
--
作者：
Dougan;Mason
我们提出了一对新的准局部结构，用于通用两个表面内引力场和物质场的四动量和质量。我们证明，当跨越三个表面满足主导能量条件且两个表面适当凸时，动量指向未来。新的定义给出了平坦空间中的零以及线性化理论中、类空间无穷大和圆形球体中的正确结果。在零无穷大处，至少有一个定义给出了邦迪质量。这些定义可以嵌入到角动量的定义中。
We propose a pair of new quasilocal constructions for the four-momentum and mass of the gravitational and matter fields within generic two-surfaces. We show that the momenta are future pointing when the dominant energy condition is satisfied on a spanning three-surface and the two-surface is suitably convex. The new definition gives zero in flat space and the correct results in linearized theory, at spacelike infinity and for round spheres. At null infinity at least one definition gives the Bondi mass. These definitions can be embedded in definitions of angular momentum.